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Extrapolation of S. O. R. iterations. (English) Zbl 0293.65020


MSC:

65F10 Iterative numerical methods for linear systems
65J05 General theory of numerical analysis in abstract spaces
65B05 Extrapolation to the limit, deferred corrections
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References:

[1] A. S. Householder: The Theory of Matrices in Numerical Analysis. Blaisdell Publishing Company 1965.
[2] D. K. Faddějev, V. N. Faddějevová: Numerical Methods in Linear Algebra. (Numerické metody lineární algebry). SNTL, Praha 1964.
[3] A. Ralston: A First Course in Numerical Analysis. McGraw-Hill Book Company, 1965. · Zbl 0139.31603
[4] R. S. Varga: Matrix Iterative Analysis. Prentice-Hall, Englewood Cliffs, New Jersey 1962. · Zbl 0133.08602
[5] G. J. Tee: Eigenvectors of the Successive Overrelaxation Process and its Combination with Chebyshev Semi-Iteration. The Computer Journal, Vol. 6, No 3, October 1963, str. 250-263. · Zbl 0131.14106
[6] D. M. Young: Iterative Method for Solving Partial Difference Equation of Elliptic Type. Trans. Amer. Math. Soc. 76, 1954, 92-111. · Zbl 0055.35704
[7] E. Humhal J. Zítko: Contribution to the S.O.R. Method. (Poznámka k superrelaxační metodě). Aplikace matematiky 3, sv. 12, 1967, 161 - 170. · Zbl 0158.34202
[8] Л. А. Люстерник: Замечания к численному решению краевых задач уравнения Лапласа и вычислениям собственных значений методом сеток. Тр. Матем. института АН СССР, 1947, 20, 49-64. · Zbl 1153.11318
[9] I. Marek: On Ljusternik’s Method of Improving Convergence of Nonlinear Iterative Sequences. CMUC 6, 3, 1965, 371-380. · Zbl 0195.43003
[10] N. Mapek: Об одном методе ускорения сходимости итерационных процесов. ЖВМиМФ, Том 2, Но 6, 1962, 963-971. · Zbl 1005.68507
[11] C. G. Broyden: Some Generalizations of the Theory of Successive Over-Relaxation. Numer. Math. 6, Heft 4, 1964, 269-284. · Zbl 0244.65021
[12] L. A. Hageman R. B. Kellogg: Estimating Optimum Overrelaxation Parameter. Math. of Comp., January 1968, Vol. 22, No 101, 60-68. · Zbl 0165.50301
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